Question

Solve following equation:
$x^2-x+2=0$

Answer 1

The roots of the quadratic equation $A{x}^2+Bx+C=0$ are

$x=\frac{-B\pm \sqrt{B^2-4AC}}{2A}$

The given equation is $x^2-x+2=0$

for the given equation, $B^2-4AC=(-1{)}^2-4(1\left)\right(2)=-7$

So the roots are

$x=\frac{-(-1)\pm \sqrt{-7}}{2}$

$x=\frac{1\pm \sqrt{7}i}{2}$